224160960 has 112 divisors (see below), whose sum is σ = 718937856. Its totient is φ = 59169792.

The previous prime is 224160953. The next prime is 224160961. The reversal of 224160960 is 69061422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (224160961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97747 + ... + 100013.

It is an arithmetic number, because the mean of its divisors is an integer number (6419088).

Almost surely, 2^224160960 is an apocalyptic number.

224160960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359468928).

224160960 is an abundant number, since it is smaller than the sum of its proper divisors (494776896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224160960 is a wasteful number, since it uses less digits than its factorization.

224160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 224160960 is about 14972.0058776371. The cubic root of 224160960 is about 607.4632266179.

The spelling of 224160960 in words is "two hundred twenty-four million, one hundred sixty thousand, nine hundred sixty".